Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 5)
5.
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Answer: Option
Explanation:
C.P. of 6 toffees = Re. 1
| S.P. of 6 toffees = 120% of Re. 1 = Rs. | 6 |
| 5 |
| For Rs. | 6 | , toffees sold = 6. |
| 5 |
| For Re. 1, toffees sold = |  |
6 x | 5 |  |
= 5. |
| 6 |
Video Explanation: https://youtu.be/7wKrnZ0LKA8
Discussion:
211 comments Page 17 of 22.
Roji said:
1 decade ago
Friends I solved in this manner:
Vendor bought at 6 for a rupee i.e.,6 c.p = 1Rs.
=>1 c.p = 1/6 Rs.
Given as, he must sell to gain 20% i.e., s.p = 120% of c.p.
=>(120/100)*(1/6).
=>1/5.
i.e., for 1 Rs, he bought 5 toffees.
Vendor bought at 6 for a rupee i.e.,6 c.p = 1Rs.
=>1 c.p = 1/6 Rs.
Given as, he must sell to gain 20% i.e., s.p = 120% of c.p.
=>(120/100)*(1/6).
=>1/5.
i.e., for 1 Rs, he bought 5 toffees.
Muruga said:
1 decade ago
Hi, selling price of 6 toffees = 6/5. OK. And then next step I can't understood help me.
Damodar Narayan said:
1 decade ago
RS. 1 -------> 6 TOFFEES.
RS. 10 -------> 60.
20% 0F 10 -------> 20% OF 60.
2 -------> 12.
12 * 5 = 60 i.e for a rupee he sell 5 Toffees to gain 20%.
Similarly A vendor bought toffees at 3 for a rupee. How many for a rupee must he sell to gain 50%?
RS. 1 -------> 3 TOFFEES.
RS. 10 -------> 30.
50% 0F 10 -------> 50% OF 30.
5 -------> 15.
15 * 2 = 30 i.e for a rupee he sell 2 Toffees to gain 50%.
RS. 10 -------> 60.
20% 0F 10 -------> 20% OF 60.
2 -------> 12.
12 * 5 = 60 i.e for a rupee he sell 5 Toffees to gain 20%.
Similarly A vendor bought toffees at 3 for a rupee. How many for a rupee must he sell to gain 50%?
RS. 1 -------> 3 TOFFEES.
RS. 10 -------> 30.
50% 0F 10 -------> 50% OF 30.
5 -------> 15.
15 * 2 = 30 i.e for a rupee he sell 2 Toffees to gain 50%.
Dadasaheb said:
1 decade ago
6 toffees for 1 Rs.
So the C.P. of 1 toffee=1/6 Rs.
Gain%=(gain*100)/C.P.
Now given gain%=20.
So,
20=(gain*100)/(1/6)
20*(1/6)=(gain*100).
20/6=gain*100
10/3=gain*100
10/300=gain
1/30=gain.
Now,
Gain=S.P.-C.P
1/30=S.P.-1/6
1/30+1/6=S.P.
(1+5)/30=S.P.
1/5=S.P.
S.P.=1/5 R.S.
Therefore,
S.P. of 5 toffees is 1 Rs.
So Answer is 5 toffees.
So the C.P. of 1 toffee=1/6 Rs.
Gain%=(gain*100)/C.P.
Now given gain%=20.
So,
20=(gain*100)/(1/6)
20*(1/6)=(gain*100).
20/6=gain*100
10/3=gain*100
10/300=gain
1/30=gain.
Now,
Gain=S.P.-C.P
1/30=S.P.-1/6
1/30+1/6=S.P.
(1+5)/30=S.P.
1/5=S.P.
S.P.=1/5 R.S.
Therefore,
S.P. of 5 toffees is 1 Rs.
So Answer is 5 toffees.
Mahendra sharma said:
1 decade ago
On selling of 6 toffee, profit is 1 toffee. What is the percentage profit ?
Gomathy said:
1 decade ago
C.P of 6 toffees = RS.1.
Gain=20%(i.e)0.2.
0.2X = Rs.1.
X = 1/0.2.
= 5.
Please suggest will this be a right approach?
Gain=20%(i.e)0.2.
0.2X = Rs.1.
X = 1/0.2.
= 5.
Please suggest will this be a right approach?
Mukesh said:
1 decade ago
DOUBT:
How do you people say "S.P of 6 toffees = 120% of 1".
When the given question is S.P of X toffees = 120% of 1".
How do you people say "S.P of 6 toffees = 120% of 1".
When the given question is S.P of X toffees = 120% of 1".
Motilal said:
1 decade ago
Best Solution:
Cost price of 6 tofees = Re.1.
Then, cost price of 1 tofee = Re. 1/6.
Profit is given 20%.
We know selling price = (100+gain%)*c.p./100.
Then, s.p. of 1 tofee = 120*(1/6)/100 i.e. 1/5.
now,
At Re.1/5 we sell 1 tofee.
At Re. 1 we must sell 1*(5/1) i.e. 5 tofees to gain 20% profit.
Cost price of 6 tofees = Re.1.
Then, cost price of 1 tofee = Re. 1/6.
Profit is given 20%.
We know selling price = (100+gain%)*c.p./100.
Then, s.p. of 1 tofee = 120*(1/6)/100 i.e. 1/5.
now,
At Re.1/5 we sell 1 tofee.
At Re. 1 we must sell 1*(5/1) i.e. 5 tofees to gain 20% profit.
Aditya said:
1 decade ago
C.P. of 6 toffees = Rs.1.
S.P. of 6 toffees = 120% of Rs.1 =6/5.
For Rs.1 ---------- 6 toffee.
Rs. 6/5 -------- 6*(5/6)=5 toffees. ;120% means 6/5 Rs.
S.P. of 6 toffees = 120% of Rs.1 =6/5.
For Rs.1 ---------- 6 toffee.
Rs. 6/5 -------- 6*(5/6)=5 toffees. ;120% means 6/5 Rs.
Iamateur said:
1 decade ago
C.P. of 6 toffee s---> 1 rs.
Given profit % = 20%
=>S.P of 6 toffees = 120%
120% of 1
= (120/100) x 1
= (12/10) x 1
= (6/5) x 1
= 6/5
=1.2 rs.
Now consider only S.P
1.2 rs--> 6 toffee
1 rs ---> ? toffee
6/1.2 =5.
As the question is asked to find only SP so for 5 toffees 1rs.
Given profit % = 20%
=>S.P of 6 toffees = 120%
120% of 1
= (120/100) x 1
= (12/10) x 1
= (6/5) x 1
= 6/5
=1.2 rs.
Now consider only S.P
1.2 rs--> 6 toffee
1 rs ---> ? toffee
6/1.2 =5.
As the question is asked to find only SP so for 5 toffees 1rs.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers